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63480 = 2335232
BaseRepresentation
bin1111011111111000
310020002010
433133320
54012410
61205520
7353034
oct173770
9106063
1063480
114376a
12308a0
1322b81
14191c4
1513c20
hexf7f8

63480 has 48 divisors (see below), whose sum is σ = 199080. Its totient is φ = 16192.

The previous prime is 63473. The next prime is 63487. The reversal of 63480 is 8436.

It is an interprime number because it is at equal distance from previous prime (63473) and next prime (63487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2749 + ... + 2771.

263480 is an apocalyptic number.

63480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99540).

63480 is an abundant number, since it is smaller than the sum of its proper divisors (135600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63480 is a wasteful number, since it uses less digits than its factorization.

63480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 63480 is about 251.9523764524. The cubic root of 63480 is about 39.8913719323.

It can be divided in two parts, 6 and 3480, that added together give a triangular number (3486 = T83).

The spelling of 63480 in words is "sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12696 15870 21160 31740 63480